Numerical Simulation of Incompressible Viscous Flow

Methods and Applications

Roland Glowinski, Tsorng-Whay Pan

• Publisher: De Gruyter
• Year: 2022
• ISBN:
  9783110785050
• Edition: 1
• Topic: Mathematics
• Subtopic: Mathematical Analysis
• Index: Mathematics

This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

Table of contents

• Title Page
• Copyright
• Contents
• Preface
• 1 Governing equations
• 2 Operator splitting methods for initial value problems: Application to the Navier–Stokes equations
• 3 Advection problems
• 4 Numerical solution of the generalized Stokes-type subproblems
• 5 Finite-element approximation of the Navier–Stokes equations
• 6 Numerical experiments: Description and results
• 7 Further applications (I): A distributed Lagrange multiplier/fictitious-domain method for simulating lid-driven viscous flows in a hemispherical cavity
• 8 Further applications (II): On the simulation of the lid-driven cavity flow of an Oldroyd-B fluid
• 9 Further applications (III): A distributed Lagrange multiplier/fictitious-domain method for simulating particles settling in an Oldroyd-B fluid
• Subject Index